Engineering chirped solitons in a modified Noguchi electrical transmission line

For many years, the propagation of modulated waves, such as bright/dark solitons, has been the subject of considerable interest in nonlinear dispersive media. Appearing as a good example of real nonlinear dispersive media, discrete electrical transmission lines allow to study qualitatively and quantitatively the properties of envelope solitons generated as a result of the development of the modulational instability and to model the exotic properties of new systems. In the present study, we investigate the generation of nonlinear modulated waves with nonlinear chirp in a modified Noguchi electrical transmission line. In the continuum limit, we employ the reductive perturbation method to show that the nonlinear modulated waves propagating in our physical system can be described by a cubic–quintic nonlinear Schrödinger equation with cubic derivatives terms. We demonstrate that the competing cubic–quintic nonlinearity induces propagating chirped bright/dark solitons, kink solitons, bright–dark solitons, two-solitons, and double-kink solitons in the modified Noguchi electrical transmission line under consideration. Also, we show that the nonlinear chirp associated with each of these electrical pulses is directly proportional to the intensity of the wave. We show that the amplitude and the width of these modulated waves and corresponding chirping can be controlled by the propagating frequency and the linear dispersive element of the network. Results in this study may be useful for experimental realization of shape-preserved pulses and found chirped solitons and double-kink solitons may be launched in long-distance telecommunication networks involving higher-order nonlinearities of the network.